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2543015424 = 2932371983
BaseRepresentation
bin1001011110010011…
…0101011000000000
320120020010120100110
42113210311120000
520202002443144
61100201351320
7120006163065
oct22744653000
96506116313
102543015424
111095514144
125ab798540
13316b10671
141a1a4ac6c
15ed3c60b9
hex97935600

2543015424 has 80 divisors (see below), whose sum is σ = 7069404672. Its totient is φ = 810805248.

The previous prime is 2543015411. The next prime is 2543015443. The reversal of 2543015424 is 4245103452.

It is a junction number, because it is equal to n+sod(n) for n = 2543015391 and 2543015400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 664 + ... + 71319.

Almost surely, 22543015424 is an apocalyptic number.

2543015424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2543015424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3534702336).

2543015424 is an abundant number, since it is smaller than the sum of its proper divisors (4526389248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2543015424 is an equidigital number, since it uses as much as digits as its factorization.

2543015424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72027 (or 72011 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 2543015424 is about 50428.3196626657. The cubic root of 2543015424 is about 1364.9487068973.

Adding to 2543015424 its reverse (4245103452), we get a palindrome (6788118876).

The spelling of 2543015424 in words is "two billion, five hundred forty-three million, fifteen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 256 276 368 384 512 552 736 768 1104 1472 1536 2208 2944 4416 5888 8832 11776 17664 35328 71983 143966 215949 287932 431898 575864 863796 1151728 1655609 1727592 2303456 3311218 3455184 4606912 4966827 6622436 6910368 9213824 9933654 13244872 13820736 18427648 19867308 26489744 27641472 36855296 39734616 52979488 55282944 79469232 105958976 110565888 158938464 211917952 317876928 423835904 635753856 847671808 1271507712 2543015424